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STA301 GDB no#2

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Starting Date      Thursday, February 02, 2017

Closing Date        Friday, February 03, 2017

Question:

1. A box contains 4 red and 5 white flowers. A random sample of 6 flowers is drawn without replacement from the box. Find the probability that the sample contains 3 red flowers.
2. Suppose the number of defective screws produced by a machine per day follows Poisson distribution with parameter 2. What is the probability that, out of the total production of the day, there are at least one defective screw?

solution??

Read lecture no 29 carefully for gdb Solution

solution?

STA301 GDB no 2 Solution

In question #1  84 is resultant instead of 48.. according to my calculation..

Is it right??

yes

yes

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STA301
Spring 2015
Assignment # 2
Solution

Question No. 1
A box contains 4 red and 5 white flowers. A random sample of 6 flowers is drawn without replacement from the box. Find the probability that the sample contains 3 red flowers.
Solution (a):
Given Data:
N=9
n=6
k=3
p=?
Applying the Formula:

Putting the Values

If X is binomially distributed with mean 8 and variance 4.8, then find the parameters of binomial distribution.

Solution (b):
Given data:
Mean: 8
Variance: 4.8
Find Parameters of Binomial Distribution “n” and “p” ?

Hence,

Applying the Formula:

P = 0.4

Question No. 2
Suppose the number of defective screws produced by a machine per day follows Poisson distribution with parameter 2. What is the probability that, out of the total production of the day, there are at least one defective screw?

Solution (a):
Let suppose the X be the number of defective screws produced in a day.

Hence: k = 0,1,2,3,….

The  Army  reports  that  the  distribution  of  head  circumferences  among  soldiers is  approximately  normal  with  mean  23.4 inches  and  standard  deviation 1.4 inches. What  percent  of  soldiers  have  a  head  circumference  between  21.0  inches and   24.0  inches?
Solution (b):

X = Head circumference; with X ~ N(23.4, 1.4) Given:
P(21.0 < X < 24.0) = 0.6228

STA301 GDB Solution

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